Partial Differential Equations (PDEs) form the cornerstone of mathematical modeling in mechanics and the natural sciences, ...

K. S. Miller and B. Ross , An Introduction to the Fractional Calculus and Fractional Differential Equations ( John Wiley and Sons , New York , 1993 ) . Google Scholar M. Weilbeer , Efficient Numerical ...

An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning and ...

For dissipative partial differential equations the Lumer-Phillips generation theorem characterizes solvability and also boundedness of the associated semigroup. An extension of the Lumer-Phillips ...

Ordinary Differential Equations. Introduction to methods for finding solutions to differential equations involving a single, independent variable. Topics include linear equations, exact solutions, ...

In this paper, a novel approach leveraging artificial neural networks is introduced to approximate solutions for partial differential equations. The one-dimensi ...

This volume is a collection of research papers on nonlinear partial differential equations and related areas, representing many aspects of the most recent developments in these important areas. In ...

A collection of resources about partial differential equations, deep learning, graph neural networks, dynamic system simulation. We also roughly categorize the resources into the following categories ...

Newly minted U.S. Open champion J.J. Spaun was essentially running on fumes before capturing the first major victory of his career Sunday.

Veterans of journalism and love alike, Robach and Holmes are ready to take on your toughest questions in a new relationship advice column for Yahoo.

2025 Vikings minicamp stock report: J.J. McCarthy, Sam Howell, Brian Flores' defense, other key standouts Top notes and takeaways from Minnesota's latest summer work ...

In this interview, Professor James J. Collins, founder of the field of Synthetic Biology, discusses his journey to founding ...